While there's minimal difference functionally between the two types of roller, for the case you have specified here, covering a curved surface, neither is a suitable choice.
A paint roller is designed to rapidly cover a flat surface without leaving brush strokes; your vase you wish to paint has no flat surfaces at all, and the roller cannot and will not curve around the surface to apply a good coat. You'll get lines of paint, likely with thick globs along the edges of them as paint is squeezed out of the roller by the vase. Ultimately, you'll have a poor result, as this is a case of choosing the wrong tool for the job, regardless of which roller you select.
You have two options for how to proceed with painting. One, you can use a brush. If you want to minimize the appearance of brush strokes, try a foam brush, which will flex around the surface but, as it has no bristles, will leave very minimal brush lines if any. If these aren't available, careful application of the paint using a new, clean, good-quality brush can minimize the appearance of brush lines, but you may wish to practice on another surface with the same paint first.
Two, you can use a sprayer. There are simpler options than a full airbrush or paint sprayer system; the Preval system is one that is frequently recommended to crafters in the US who don't want or need a full airbrush or sprayer system; it's likely a similar device exists in your area as well, as it's effectively a jar with a specially designed can of compressed air attached to it. You'll similarly want to practice a bit with your specific paint so you don't experience uneven application, runny paint, or splattering on your final project. If you invest in a more expensive system, ensure you also take the time to learn how to fully clean the system after use so it will last you a long time, through many projects.
Unfortunately, there's really no way around the fact that a roller is the wrong tool for this job. You can attempt to proceed with one or the other, but neither is going to offer a good result.